A box has a volume given by the trinomial x3 – 7x2 – 60x. What are the possible dimensions of the box? Use factoring.%0D%0A(1 point)

1 answer

To find the possible dimensions of the box, we need to factor the trinomial x^3 - 7x^2 - 60x.

First, factor out an x:
x(x^2 - 7x - 60)

Now, factor the quadratic expression x^2 - 7x - 60:
(x - 12)(x + 5)

Therefore, the factored form of the trinomial is:
x(x - 12)(x + 5)

The possible dimensions of the box are x, x - 12, and x + 5.